Markov chains as Evans-Hudson diffusions in Fock space
Kalyanapuram Rangachari Parthasarathy; Kalyan B. Sinha
Séminaire de probabilités de Strasbourg (1990)
- Volume: 24, page 362-369
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topParthasarathy, Kalyanapuram Rangachari, and Sinha, Kalyan B.. "Markov chains as Evans-Hudson diffusions in Fock space." Séminaire de probabilités de Strasbourg 24 (1990): 362-369. <http://eudml.org/doc/113729>.
@article{Parthasarathy1990,
author = {Parthasarathy, Kalyanapuram Rangachari, Sinha, Kalyan B.},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {von-Neumann algebra of operators in a Hilbert space; quantum stochastic differential equation; boson Fock space; Markov flows},
language = {eng},
pages = {362-369},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Markov chains as Evans-Hudson diffusions in Fock space},
url = {http://eudml.org/doc/113729},
volume = {24},
year = {1990},
}
TY - JOUR
AU - Parthasarathy, Kalyanapuram Rangachari
AU - Sinha, Kalyan B.
TI - Markov chains as Evans-Hudson diffusions in Fock space
JO - Séminaire de probabilités de Strasbourg
PY - 1990
PB - Springer - Lecture Notes in Mathematics
VL - 24
SP - 362
EP - 369
LA - eng
KW - von-Neumann algebra of operators in a Hilbert space; quantum stochastic differential equation; boson Fock space; Markov flows
UR - http://eudml.org/doc/113729
ER -
References
top- [1] Evans ( M.P.). Quantum diffusions. Nottingham PhD Thesis, 1988. Zbl0648.46056
- [2] Evans ( M.P.). Existence of quantum diffusions. Prob. Th. and Rel. Fields, 81, 473-483 (1989) Zbl0667.60060MR995806
- [3] Evans ( M.P.) and Hudson ( R.L.). Perturbations of quantum diffusions. Nottingham preprint 1989. MR1067276
- [4] Hudson ( R.L.). Quantum diffusions and cohomology of algebras. Proc. Bernoulli Soc. ist World Congress, Tashkent1986, Yu. V. Prohorov and V.V. Sazonov eds. pp. 479-485 (1987) Zbl0692.46068MR1092386
- [5] Hudson ( R.L.) and Parthasarathy ( K.R.). Quantum Ito's formula and stochastic evolutions. Comm. M. Phys, 93, 301-323 (1984). Zbl0546.60058MR745686
- [6] Meyer ( P.A.). Chaînes de Markov finies et représentations chaotiques. Strasbourg preprint 1989.
- [7] Meyer ( P.A.). Diffusions quantiques, d'après Evans et Hudson (I). Strasbourg preprint 1989.
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